Find the LCM of 355, 465, 702, 301, 673 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 355, 465, 702, 301, 673. So, keep reading to learn more.
Given numbers are 355,465,702,301,673
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 355,465,702,301,673 is 1564979737230.
Find LCM of 355,465,702,301,673 with Prime Factorization
3 | 355, 465, 702, 301, 673 |
5 | 355, 155, 234, 301, 673 |
71, 31, 234, 301, 673 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 71 x 31 x 234 x 301 x 673 = 1564979737230
Therefore, the lowest common multiple of 355,465,702,301,673 is 1564979737230.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
355 x 465 x 702 x 301 x 673 = 23474696058450
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
355 : 1, 5, 71, 355
465 : 1, 3, 5, 15, 31, 93, 155, 465
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
301 : 1, 7, 43, 301
673 : 1, 673
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,465,702,301,673, is 1.
Now, the common factors can be found like this.
355:5x 71
465:3x 5x 31
702:2x 3x 3x 3x 13
301:7x 43
673:673
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5 = 15
Therefore, the value for common factors is 15.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 23474696058450/(1x15)
LCM = 23474696058450/15
LCM = 1564979737230
Thus, we can understand that the LCM of 355,465,702,301,673 is 1564979737230.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 355, 465, 702, 301, 673?
Answer: LCM of 355, 465, 702, 301, 673 is 1564979737230.
2. How to calculate the LCM of 355, 465, 702, 301, 673?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 355, 465, 702, 301, 673.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.